Statistical Estimation of the Dynamics of Watershed Dams

Authors:
ZbisłAw Tabor
Affiliations:
Institute of Applied Computer Science, Cracow University of Technology, al. Jana Pawła II 37, 31-864 Cracow, Poland
Venue:
International Journal of Applied Mathematics and Computer Science
Year:
2009

Citing 3
Cited 0

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Abstract

In the present study the notion of watershed contour dynamics, defined within the framework of mathematical morphology, is examined. It is shown that the dynamics are a direct measure of the "sharpness" of transition between neighboring watershed basins. The expressions for the expected value and the statistical error of the estimation of contour dynamics are derived in the presence of noise, based on extreme value theory. The sensitivity of contour dynamics to noise is studied. A statistical approach to the notion of contour dynamics is developed and a definition of statistical dynamics is proposed.